51567120 has 240 divisors, whose sum is σ = 200558592. Its totient is φ = 11735040.

The previous prime is 51567107. The next prime is 51567149. The reversal of 51567120 is 2176515.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134449 + ... + 134831.

Almost surely, 2^51567120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51567120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100279296).

51567120 is an abundant number, since it is smaller than the sum of its proper divisors (148991472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51567120 is a wasteful number, since it uses less digits than its factorization.

51567120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 51567120 is about 7181.0249964751. The cubic root of 51567120 is about 372.2125043213.

The spelling of 51567120 in words is "fifty-one million, five hundred sixty-seven thousand, one hundred twenty".